Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 937, 765, 72, 413 i.e. 1 largest integer that divides all the numbers equally.
GCD of 937, 765, 72, 413 is 1
GCD(937, 765, 72, 413) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 937, 765, 72, 413 is 1
GCD(937, 765, 72, 413) = 1
Given Input numbers are 937, 765, 72, 413
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Greatest Common Divisior
We found the divisors of 937, 765, 72, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 937, 765, 72, 413 is 1.
Therefore, GCD of numbers 937, 765, 72, 413 is 1
Given Input Data is 937, 765, 72, 413
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 937 is 937
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 413 is 7 x 59
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(937, 765) = 716805
GCD(937, 765) = ( 937 x 765 ) / 716805
GCD(937, 765) = 716805 / 716805
GCD(937, 765) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 413) = 413
GCD(1, 413) = ( 1 x 413 ) / 413
GCD(1, 413) = 413 / 413
GCD(1, 413) = 1
GCD of 937, 765, 72, 413 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 937, 765, 72, 413?
GCD of 937, 765, 72, 413 is 1
2. Where do I get the detailed procedure to find GCD of 937, 765, 72, 413?
You can find a detailed procedure to find GCD of 937, 765, 72, 413 on our page.
3. How to find GCD of 937, 765, 72, 413 on a calculator?
You can find the GCD of 937, 765, 72, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.